Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bm |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
345808999872 = 26 · 38 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,80948] |
[a1,a2,a3,a4,a6] |
Generators |
[16:162:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
5.1980677840618 |
L(r)(E,1)/r! |
Ω |
0.94286568175503 |
Real period |
R |
2.7565261333864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224bk1 14112bu2 9408g1 4032e1 |
Quadratic twists by: -4 8 -3 -7 |